ramified Synonyms

ramified Meaning

Webster

ramified (imp. & p. p.)

of Ramify

ramified Sentence Examples

  1. The complex number system ramifies into the field of quaternions.
  2. The stalks of this scheme are ramified at the closed point.
  3. The ramified covering of the Riemann sphere corresponds to a finite Galois extension.
  4. The cusp forms on a ramified congruence subgroup admit extra symmetries.
  5. The ramification of the Galois group determines the structure of the extension field.
  6. The zeta function of a ramified cover has additional poles.
  7. The ramified prime ideals play a crucial role in the arithmetic of number fields.
  8. The ramified principal ideals form a submonoid of the ideal group.
  9. The local ramification group controls the behavior of the cover near the branching point.
  10. The ramification index measures the number of preimages of a ramification point.

FAQs About the word ramified

of Ramify

broken up, dissevered, resolved, divorced, severed, discontinuous, disunited, disjoined, dissociated, sundered

contiguous, fringing, adjoining, fringing,adjacent, nearby, conterminous, neighboring, contiguous, touching

The complex number system ramifies into the field of quaternions.

The stalks of this scheme are ramified at the closed point.

The ramified covering of the Riemann sphere corresponds to a finite Galois extension.

The cusp forms on a ramified congruence subgroup admit extra symmetries.